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Finding the Fourth Proportional to 4,068.74, 6,101.58 and 1,602.22

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Solution

The fourth proportional to 4,068.74, 6,101.58 and 1,602.22 is: 2,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.74 : 6,101.58 = 1,602.22 : x
  2. Step 2: Convert to fraction form
    4,068.74/6,101.58 = 1,602.22/x
  3. Step 3: Cross multiply
    4,068.74x = 6,101.58 × 1,602.22
  4. Step 4: Simplify right side
    4,068.74x = 9,776,073.51
  5. Step 5: Solve for x
    x = 9,776,073.51/4,068.74
  6. Step 6: Final answer
    x = 2,402.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.